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Finding the Fourth Proportional to 3,580.70, 5,371.41 and 983.63

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Solution

The fourth proportional to 3,580.70, 5,371.41 and 983.63 is: 1,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.70 : 5,371.41 = 983.63 : x
  2. Step 2: Convert to fraction form
    3,580.70/5,371.41 = 983.63/x
  3. Step 3: Cross multiply
    3,580.70x = 5,371.41 × 983.63
  4. Step 4: Simplify right side
    3,580.70x = 5,283,453.16
  5. Step 5: Solve for x
    x = 5,283,453.16/3,580.70
  6. Step 6: Final answer
    x = 1,475.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.